Question

Simplify (2x)^1/2 (2x)^1/3

Answer 1

here's a hint... apply laws of exponents \[\huge a^m \times a^n \implies a^{m+n}\]
does that help?

Answer 2

2x^(1/6)?

Answer 3

close.. very close... but 1/2 + 1/3 is not 1/6 try again

Answer 4

I thought I was supposed to multiply...

Answer 5

nope. like i wrote above, you just add the exponents

Answer 6

ok, so 2x^(1/5)

Answer 7

you multiply when it's like this \[\huge (a^m)^n \implies a^{mn}\]

and 1/2 + 1/3 is still not 1/5

Answer 8

5/6

Answer 9

right.

Answer 10

so now just put in 2x as the base

Answer 11

2x^5/6

Answer 12

nope. remember. there was a parenthesis in the original problem

Answer 13

that parenthesis is very important

Answer 14

why?

Answer 15

because.. \\large [(2x)^{5/6} \implies 2^{5/6} x^{5/6}\]do you see the difference of that to 2x^5/6 ?

Answer 16

\[\large [(2x)^{5/6} \implies 2^{5/6} x^{5/6}\]

Answer 17

ok...

Answer 18

so you got it now?

Answer 19

yep :) thanks

Answer 20

welcome